Browsing by MSC "57"

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    • 1422a - Algebraic Structures in Low-Dimensional Topology 

      [OWR-2014-26] (2014) - (25 May - 31 May 2014)
      The workshop concentrated on important and interrelated invariants in low dimensional topology. This work involved virtual knot theory, knot theory, three and four dimensional manifolds and their properties.

    • 0611 - Analysis and Topology in Interaction 

      [OWR-2006-13] (2006) - (12 Mar - 18 Mar 2006)
      This workshop brought together, on the one side, mathematicians working in areas of global analysis and index theory, which are related with problems in algebraic topology, and on the other side, specialists in fields like ...

    • 1732 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2017-36] (2017) - (06 Aug - 12 Aug 2017)
      Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using ...

    • 1432 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2014-36] (2014) - (03 Aug - 09 Aug 2014)
      One of the fundamental problems in Riemannian geometry is to understand the relation of locally defined curvature invariants and global properties of smooth manifolds. This workshop was centered around the investigation ...

    • 0614 - Arbeitsgemeinschaft mit aktuellem Thema: Higher Torsion Invariants in Differential Topology and Algebraic K-Theory 

      [OWR-2006-16] (2006) - (02 Apr - 08 Apr 2006)
      The purpose of this Arbeitsgemeinschaft was to study and—as far as possible—compare three generalisations of the classical Franz-Reidemeister torsion to families E → B of manifolds. Dwyer, Weiss and Williams construct ...

    • 0641 - Arbeitsgemeinschaft mit aktuellem Thema: Twisted K-Theory 

      [OWR-2006-46] (2006) - (08 Oct - 14 Oct 2006)
      The “Arbeitsgemeinsschaft mit aktuellem Thema ‘Twisted K-Theory’ ” gave an introduction to several aspects of twisted K-theory. It started with a couple of different definitions of twisted K-theory, suitable in situations ...

    • 2341 - Arbeitsgemeinschaft: Cluster Algebras 

      [OWR-2023-45] (2023) - (08 Oct - 13 Oct 2023)
      Cluster algebras, invented by Sergey Fomin and Andrei Zelevinsky around the year 2000, are commutative algebras endowed with a rich combinatorial structure. Fomin-Zelevinsky's original motivations came from Lie theory ...

    • 1114 - Arbeitsgemeinschaft: Rational Homotopy Theory in Mathematics and Physics 

      [OWR-2011-18] (2011) - (03 Apr - 08 Apr 2011)
      This Arbeitsgemeinschaft focused on the interplay among rational homotopy theory, differential geometry and the physics of string topology. The talks centered on one hand on how geometry and string topology make use of ...

    • 0841 - Arbeitsgemeinschaft: Ricci Flow and the Poincare Conjecture 

      [OWR-2008-46] (2008) - (05 Oct - 11 Oct 2008)
      It was the aim of this workshop to introduce the participants to the basic concepts and techniques of Hamilton’s Ricciflow programme and cover the main ideas of the proof of the Poincar´e conjecture. This was accomplished ...

    • Braid equivalences and the L-moves 

      [OWP-2011-20] Lambropoulou, Sofia (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-19)
      In this survey paper we present the L-moves between braids and how they can adapt and serve for establishing and proving braid equivalence theorems for various diagrammatic settings, such as for classical knots, for knots ...

    • Braidoids 

      [OWP-2020-17] Gügümcü, Neslihan; Lambropoulou, Sofia (Mathematisches Forschungsinstitut Oberwolfach, 2020-09-03)
      Braidoids generalize the classical braids and form a counterpart theory to the theory of planar knotoids, just as the theory of braids does for the theory of knots. In this paper, we introduce the notion of braidoids in ...

    • 1823b - Cohomological and Metric Properties of Groups of Homeomorphisms of R 

      [OWR-2018-26] (2018) - (03 Jun - 09 Jun 2018)
      In recent years, the family of groups sharing features or design principles with classical Thompson groups has grown considerably. The workshop highlights new developments in this field with special emphasis on algorithmic ...

    • 1519 - Cohomology of Finite Groups: Interactions and Applications 

      [OWR-2015-24] (2015) - (03 May - 09 May 2015)
      The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the fourth in a series that has emphasized the interactions of group cohomology ...

    • 1030 - Cohomology of Finite Groups: Interactions and Applications 

      [OWR-2010-32] (2010) - (25 Jul - 31 Jul 2010)
      The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the third in a series that has emphasized the interactions of group cohomology ...

    • 0536 - Cohomology of Finite Groups: Interactions and Applications 

      [OWR-2005-42] (2005) - (04 Sep - 10 Sep 2005)
      This is a report on a meeting on interactions and applications of the cohomology of finite groups. Besides several talks on the cohomology of finite groups there were talks on related subjects, in particular on the cohomology ...

    • 2033 - Cohomology of Finite Groups: Interactions and Applications (hybrid meeting) 

      [OWR-2020-23] (2020) - (09 Aug - 15 Aug 2020)
      The cohomology of finite groups is an important tool in many subjects including representation theory and algebraic topology. This meeting was the fifth in a series that has emphasized the interactions of group ...

    • The Colored Jones Polynomial and Kontsevich-Zagier Series for Double Twist Knots 

      [OWP-2017-29] Lovejoy, Jeremy; Osburn, Robert (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-20)
      Using a result of Takata, we prove a formula for the colored Jones polynomial of the double twist knots $K_{(-m,-p)}$ and $K_{(-m,p)}$ where $m$ and $p$ are positive integers. In the $(-m,-p)$ case, this leads to new ...

    • 1542 - Computational Geometric and Algebraic Topology 

      [OWR-2015-45] (2015) - (11 Oct - 17 Oct 2015)
      Computational topology is a young, emerging field of mathematics that seeks out practical algorithmic methods for solving complex and fundamental problems in geometry and topology. It draws on a wide variety of techniques ...

    • A construction of hyperbolic Coxeter groups 

      [OWP-2010-04] Osajda, Damian (Mathematisches Forschungsinstitut Oberwolfach, 2010)
      We give a simple construction of Gromov hyperbolic Coxeter groups of arbitrarily large virtual cohomological dimension. Our construction provides new examples of such groups. Using this one can construct e.g. new groups ...

    • 0727 - Differentialgeometrie im Grossen 

      [OWR-2007-32] (2007) - (01 Jul - 07 Jul 2007)
      Abstract. The meeting continued the biannual conference series Differentialgeometrie im Großen at the MFO which was established in the 60’s by Klingenberg and Chern. Global Riemannian geometry with its connections to ...